All categories

3 years ago

Use the figure below to solve for X.

Mathematics

2 answers:

natulia [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Step 1:

2x + 55° + x - 10° = 180° Sum of a Δ

Step 2:

3x + 45° = 180° Combine Like Terms

Step 3:

3x = 135° Subtract 45° on both sides

Step 4:

x = 135° ÷ 3 Divide

Answer:

x = 45

Hope This Helps :)

stiv31 [10]3 years ago

3 0

Answer:

the value of x is 45 degree

You might be interested in

Helppppppppppppppppp

Stella [2.4K]

Given:

4 relations in the options.

To find:

The relation which represents a function.

Solution:

We know that, a relation is a function if there exist a unique output value for each input value.

In option A, we have two output values y=-5 and y=1 for single input value x=-1. So, it is not a function.

In option B, we have two output values y=2 and y=4 for single input value x=3. So, it is not a function.

In option C, we have two output values y=1 and y=7 for single input value x=-1. So, it is not a function.

In option D, we have unique output value for each input value. So, it is a function.

Therefore, the correct option is D.

8 0

2 years ago

the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

Yuki888 [10]

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) $x \leq 9.01\ gal$

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?

The budget is given by the equation

y=40

therefore

The budget is $40

Part b) How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

$3.55x+8 \leq 40$

Solve for x

$3.55x \leq 40-8$

$3.55x \leq 32$

$x \leq 9.01\ gal$

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

7 0

3 years ago

Josh has 4 times as many pears as leya, who has one half as many pears as amy. If josh has 32 pears how many does amy have?

arlik [135]

<h3>The number of pears Amy has is 16.</h3>

Step-by-step explanation:

Let J represent the number of pears Josh has.

Let L represent the number of pears Leya has.

Let A represent the number of pears Amy has.

From the question given above,

Josh (J) = 4 × Leya (L)

J = 4L ....... (1)

Leya (L) = ½ × Amy (A)

L = ½A ........ (2)

Next, we shall determine the number of pears Leya has. This can be obtained as follow:

From equation 1

J = 4L

But

Josh (J) = 32 pears

Thus,

32 = 4L

Divide both side by 4

L = 32 / 4

<h3>Leya (L) = 8 pears </h3>

Finally, we shall determine the number pears Amy has. This can be obtained as follow:

From equation 2

L = ½A

But

Leya (L) = 8 pears

Thus,

8 = ½A

Cross multiply

A = 8 × 2

<h3>Amy (A) = 16 pears </h3>

Therefore, Amy has 16 pears.

Learn more: brainly.com/question/20971657

6 0

2 years ago

Read 2 more answers

Eliminate the double signs in the expression -18-(+1)+(+16)+(-2)

Savatey [412]

Answer:

-5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the atomic number of the element represented by the diagrams

ratelena [41]

Answer:where is the diagram so i could help you

Step-by-step explanation:

4 0

3 years ago